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rokicki

Member
Joined
Oct 31, 2008
Messages
288
Just running a new version of twsearch and found what I think is a new adjacent double-parity algorithm for the 4x4x4; it's only 17QTM.

2F 2F 2L' 2F' U R U D L' 2U' L U' D' R' U' 2F' 2L

I make no claim this is particularly useful for speedsolving, but the algorithm itself is kind of cute.

For completeness, here are all optimal 17-move slice quarter-move solutions to this position:

Code:
 2F 2F 2L' 2F' U R U D L' 2U' L U' D' R' U' 2F' 2L
 2F 2L' U' B' U' D' F 2U' F' U D B U 2L' 2F' 2L 2L
 2B 2B 2R 2B U R U D L' 2D L U' D' R' U' 2B 2R'
 2B' 2R U' B' U' D' F 2D F' U D B U 2R 2B 2R 2R
and here are all optimal 16-move slice half-move solutions to this position:

Code:
 2F 2L' U' B' U' D' F 2U' F' U D B U 2L' 2F' 2L2
 2F2 2L 2F' U2 L2 U' R' L' 2D' R L U L2 U2 2F' 2L'
 2F2 2L' 2F' U R U D L' 2U' L U' D' R' U' 2F' 2L
 2F' 2L' U2 F2 U B F 2D' B' F' U' F2 U2 2L' 2F 2L2
 2B 2R U2 F2 U B F 2U B' F' U' F2 U2 2R 2B' 2R2
 2B2 2R 2B U R U D L' 2D L U' D' R' U' 2B 2R'
 2B2 2R' 2B U2 L2 U' R' L' 2U R L U L2 U2 2B 2R
 2B' 2R U' B' U' D' F 2D F' U D B U 2R 2B 2R2
 2L 2F U2 L2 U R' L' 2D R L U' L2 U2 2F 2L' 2F2
 2L2 2F' 2L U2 F2 U' B F 2D B' F' U F2 U2 2L 2F
 2R2 2B 2R' U2 F2 U' B F 2U' B' F' U F2 U2 2R' 2B'
 2R' 2B' U2 L2 U R' L' 2U' R L U' L2 U2 2B' 2R 2B2
 

rokicki

Member
Joined
Oct 31, 2008
Messages
288
Here's some optimal-in-a-blended-metric ones for checkerboard-in-opposite-dedges.
Only 13 QTM.

2L' 2F 2L' U2 s' 2L' s U2 2L' 2F' 2L'

Code:
2L' 2F 2L' U2 s' 2L' s U2 2L' 2F' 2L'
2L' 2F' 2L' U2 s 2L' s' U2 2L' 2F 2L'
2L' 2B 2L' U2 s 2L' s' U2 2L' 2B' 2L'
2L' 2B' 2L' U2 s' 2L' s U2 2L' 2B 2L'
2R' 2F 2R' U2 s' 2R' s U2 2R' 2F' 2R'
2R' 2F' 2R' U2 s 2R' s' U2 2R' 2F 2R'
2R' 2B 2R' U2 s 2R' s' U2 2R' 2B' 2R'
2R' 2B' 2R' U2 s' 2R' s U2 2R' 2B 2R'
 

Fyplus

Member
Joined
Apr 6, 2021
Messages
7
OLL/PLL algorithm discovered using Bidirectional BFS.
These algorithm are "optimal moves"(QTM). They consist of RR'LL'UU'DD'FF'BB' only, and all ending with R/R'.
Most of these need human processing (inserting some xyz moves for example) to be practical to use.


OLL 1:
F'U'LF'L'FFUFR'F'R
BUL'BLBBU'B'RBR'

OLL 2:
F'U'FRBULU'L'UB'R'
F'U'FRBUL'BLBBR'
FR'F'RURRB'R'BU'R'
B'RBR'U'RRFRF'UR
BUB'R'F'U'L'ULU'FR
BUB'R'F'U'LF'L'FFR
RBR'ULU'L'RUB'U'R'
R'U'F'UL'RU'LUR'FR
BUB'UR'F'L'U'LU'FR
R'F'RU'L'ULR'U'FUR
F'U'FU'RBLUL'UB'R'
RUBU'LR'UL'U'RB'R'
BLU'FU'F'L'B'UR'UR
BLU'FUF'U'L'B'R'UR
R'U'BFFLFL'B'UFR
BLLF'L'FU'L'B'R'UR
LFUF'U'L'RUBU'B'R'
RBUF'LU'L'UB'FU'R'
RBUF'L'BLBBFU'R'
RUBF'U'LUL'FU'B'R'
R'U'BF'UL'U'LB'UFR
F'LLBLB'ULFRU'R'
R'F'U'BL'ULU'B'FUR
R'F'U'BLF'L'B'FFUR
L'B'U'BULR'U'F'UFR
RUBBF'L'B'LFU'B'R'
F'L'UB'UBLFU'RU'R'
F'L'UB'U'BULFRU'R'

OLL 3:
R'UFR'F'R'DL'B'LD'R'
BLUL'U'B'R'U'F'UFR
B'U'R'URBRBUB'U'R'
F'U'L'UFR'F'LU'FUR
F'U'L'ULFR'F'U'FUR
FURU'BR'F'RUB'U'R'
FURU'R'F'RBUB'U'R'
BULU'L'B'R'F'U'FUR
R'D'LF'L'DRUFR'F'R
R'D'LF'L'DR'B'R'BUR'
RB'R'BURDL'B'LD'R'

OLL 4:
RU'B'RBRD'LFL'DR
F'L'U'LUFRUBU'B'R'
B'U'R'URBR'F'U'FUR
B'U'R'UF'RBR'U'FUR
F'U'L'ULFRBUB'U'R'
FURU'R'F'R'F'U'FUR
BULU'B'RBL'UB'U'R'
BULU'L'B'RBUB'U'R'
R'FRF'U'R'D'LFL'DR
RDL'BLD'RFRF'U'R
RDL'BLD'R'U'B'RBR'

OLL 5:
R'FFLFL'FR

OLL 6:
RBBL'B'LB'R'

OLL 7:
RBL'BLBBR'

OLL 8:
R'F'LF'L'FFR

OLL 9:
B'U'BRB'R'URBR'
R'F'UL'U'LU'FUR

OLL 10:
FUF'R'FRU'R'F'R
RBU'LUL'UB'U'R'

OLL 11:
B'R'U'RUBR'F'U'FUR
RD'BRULU'L'R'B'DR'
F'L'U'LUFRBUB'U'R'
BLUL'B'RDL'B'LD'R'
BLUL'UB'RRFRF'R
RRDL'B'LD'R'BUB'R'
F'UUFURBLUL'B'R'
R'F'UFRRDL'B'LD'R'
RU'LBUFU'B'F'L'UR'
RBL'BL'DLD'LBBR'
RBUB'U'BL'BLBBR'

OLL 12:
FRUR'U'F'RBUB'U'R'
R'DF'R'U'L'ULRFD'R
F'L'U'LFR'D'LFL'DR
F'L'U'LU'FRRB'R'BR'
RRD'LFL'DRF'U'FR
BLUL'U'B'R'F'U'FUR
R'F'U'FUF'LF'L'FFR
R'F'LF'LD'L'DL'FFR
R'UL'F'U'B'UBFLU'R
BUUB'U'R'F'L'U'LFR
RBU'B'RRD'LFL'DR

OLL 13:
FR'F'U'FRF'R'UR

OLL 14:
B'RBUB'R'BRU'R'

OLL 15:
BLB'R'BUL'U'B'R
R'F'L'RU'LUR'FR

OLL 16:
F'L'FRF'U'LUFR'
RBLR'UL'U'RB'R'

OLL 17:
FR'F'RUURU'BU'B'R'
RU'B'RBLRD'FDL'R
R'UFR'F'L'R'DB'D'LR'
B'RBR'UUR'UF'UFR
R'U'F'LUF'U'L'UFFR
LU'F'LFLRD'BDLR'
RUBL'U'BULU'BBR'
L'UBL'B'L'R'DF'D'L'R
F'U'L'ULU'FUFR'F'R
BULU'L'UB'U'B'RBR'
LF'L'FULR'DF'D'L'R
R'FRF'U'LR'D'FDL'R
RB'R'BUL'RDB'D'LR'
L'BLB'U'L'RD'BDLR'

OLL 18:
F'U'FRBLUL'UB'U'R'
FR'F'RURU'BUB'U'R'
B'RBR'U'R'UF'U'FUR
BUB'R'F'L'U'LU'FUR
F'L'U'LU'FUUFR'F'R
BLUL'UB'UUB'RBR'
F'U'L'UB'UBLFRU'R'
BULU'FU'F'L'B'R'UR
F'UUFRBLUL'UB'R'
BLU'FU'F'L'B'R'UUR
F'L'UB'UBLFRUUR'
BUUB'R'F'L'U'LU'FR

OLL 19:
RBBUL'U'B'ULB'U'R'
R'FFU'LUFU'L'FUR
LR'D'F'DL'RUFR'F'R
LR'D'F'DL'R'B'R'BUR'
L'RDBD'LRFRF'U'R
L'RDBD'LR'U'B'RBR'

OLL 20:
L'U'BULB'U'B'RUBU'R'
LUF'U'L'FUFR'U'F'UR
LR'U'F'UFUFUF'U'L'R
RUBF'ULUL'U'B'FU'R'
RUBF'ULU'L'U'B'FU'R'
L'RU'B'UBUBUB'U'LR'
LR'UFU'F'U'F'U'FUL'R
R'U'BF'U'L'ULUB'FUR
R'U'BF'U'L'U'LUB'FUR
L'RUBU'B'U'B'U'BULR'

OLL 21:
L'U'LU'L'U'RU'LUR'
LUL'ULUR'UL'U'R

OLL 22:
L'URU'LU'R'U'RU'R'
LU'R'UL'URUR'UR

OLL 23:
B'URU'R'U'BRUUR'
FU'R'URUF'R'UUR
FUUF'R'UFUF'U'R
B'UUBRU'B'U'BUR'

OLL 24:
FRB'R'F'RBR'
B'R'FRBR'F'R
BLB'RBL'B'R'
F'L'FR'F'LFR

OLL 25:
B'R'F'RBR'FR
F'LFR'F'L'FR
BL'B'RBLB'R'
FRBR'F'RB'R'

OLL 26:
L'URU'LUR'

OLL 27:
LU'R'UL'U'R

OLL 28:
B'RBLR'U'R'UL'R
FR'F'L'RURU'LR'
F'LFL'RU'L'ULR'
BLUL'B'R'F'U'FR
F'L'U'LFRBUB'R'
BL'B'LR'ULU'L'R
BUB'R'F'L'U'LFR
F'U'FRBLUL'B'R'
LDFD'L'RFU'F'R'
L'DB'D'LR'BUB'R
LD'FDL'RF'U'FR'
L'D'B'DLR'B'UBR
LFR'F'L'RURU'R'
B'FDRD'BF'RU'R'
B'FD'RDBF'R'U'R
B'FDR'D'BF'RUR'
B'FD'R'DBF'R'UR
L'B'RBLR'U'R'UR

OLL 29:
B'U'R'UF'RBR'FR

OLL 30:
FURU'BR'F'RB'R'

OLL 31:
R'U'FURU'R'F'R
LR'UFU'F'L'U'R

OLL 32:
RUB'U'R'URBR'
L'RU'B'UBLUR'

OLL 33:
F'U'FUFR'F'R
BUB'U'B'RBR'

OLL 34:
FUF'U'R'F'LFL'R
BUB'U'L'B'RBLR'
F'U'FULFR'F'L'R
B'U'BURBL'B'LR'

OLL 35:
RUURRFRF'RUUR'
R'UURRB'R'BR'UUR
RUB'RBRRURUUR'
RUB'RD'RDRRBU'R'
R'U'FR'F'RRU'R'UUR
R'U'FR'DR'D'RRF'UR
FUUF'U'R'FRU'R'F'R
B'UUBURB'R'URBR'

OLL 36:
R'B'RFR'F'U'R'UBR
R'F'UFU'F'L'U'LFR
L'B'UBLR'FU'F'UR
R'F'U'FFURU'R'F'R
BUB'R'UF'L'U'LFR

OLL 37:
FR'F'RURU'R'
B'RBR'U'R'UR

OLL 38:
RFR'B'RBURU'F'R'
RBUBBU'R'URBR'
LFU'F'L'RB'UBU'R'
RBU'B'UBLUL'B'R'
F'U'FRU'BLUL'B'R'

OLL 39:
RB'R'U'RUBU'R'
RU'L'B'U'BULR'
LU'R'F'U'FUL'R

OLL 40:
R'FRUR'U'F'UR
R'ULFUF'U'L'R
L'URBUB'U'LR'

OLL 41:
LRRD'F'DFRF'L'R
LLRD'B'DBLB'LR'
L'B'RDLBL'D'BLR'
R'F'LDRFR'D'FL'R
LR'F'U'R'F'RFUL'R
L'RB'U'L'B'LBULR'

OLL 42:
L'RRDBD'B'R'BLR'
LLR'DFD'F'L'FL'R
LFR'D'L'F'LDF'L'R
RBL'D'R'B'RDB'LR'
LR'FULFL'F'U'L'R
L'RBURBR'B'U'LR'

OLL 43:
R'U'F'UFR

OLL 44:
RUBU'B'R'

OLL 45:
R'F'U'FUR
RBUB'U'R'

OLL 46:
RBU'LUL'B'R'
RURB'R'BU'R'
R'F'UL'U'LFR
R'U'R'FRF'UR

OLL 47:
R'F'U'FUF'U'FUR

OLL 48:
RBUB'U'BUB'U'R'

OLL 49:
R'U'RRB'R'BU'B'RBR'
RB'RRBUUBUUB'R
RB'RRFRRBRRF'R
B'R'F'RBR'FU'F'UFR
F'LFR'F'LLULU'FR
RF'UUFUUFRRF'R
BUB'UBU'B'R'F'U'FR
BULU'L'UB'R'F'U'FR
LUFU'F'L'R'U'F'UFR
R'FR'F'RRUUB'RBR'
RBUB'U'RRU'F'UFR

OLL 50:
RURRFRF'UFR'F'R
R'FRRB'RRF'RRBR'
R'FRRF'UUF'UUFR'
BL'B'RBLLU'L'UB'R'
FRBR'F'RB'UBU'B'R'
F'U'L'ULU'FRBUB'R'
R'BUUB'UUB'RRBR'
L'U'B'UBLRUBU'B'R'
F'U'FU'F'UFRBUB'R'
R'F'U'FURRUBU'B'R'
RB'RBRRUUFR'F'R

OLL 51:
RUBU'B'UBU'B'R'
R'U'F'UFU'F'UFR

OLL 52:
RUBU'BL'B'LB'R'
RUR'URU'BU'B'R'
R'U'F'UF'LFL'FR
R'U'RU'R'UF'UFR
R'F'U'FU'RUR'UR
R'F'LF'L'FU'FUR
RBUB'UR'U'RU'R'
RBL'BLB'UB'U'R'

OLL 53:
R'FFLFL'F'LFL'FR
RF'U'L'UFRRF'LFR
R'FRF'UURRB'R'BR'
R'FRF'U'FR'F'RRU'R'
R'F'LF'L'FLF'L'FFR

OLL 54:
R'BULU'B'RRBL'B'R'
RBBL'B'LBL'B'LB'R'
RB'R'BUB'RBRRUR
RB'R'BUURRFRF'R
RBL'BLB'L'BLBBR'

OLL 55:
B'R'UF'U'FFRBR'F'R
FRU'BUBBR'F'RBR'

OLL 56:
F'L'U'LUL'FR'F'LFR
BLUL'U'LB'RBL'B'R'
R'F'L'FRRF'U'LUFR'
RBLB'RRBUL'U'B'R

OLL 57:
BLU'L'B'R'F'UFR
BLFU'F'L'B'R'UR
F'L'ULFRBU'B'R'
F'L'B'UBLFRU'R'
LUL'U'L'RBLB'R'
FUF'LR'DF'D'L'R
F'UFLR'D'F'DL'R
BUB'L'RDB'D'LR'
B'UBL'RD'B'DLR'
L'U'LULR'F'L'FR
FU'F'LR'DFD'L'R
F'U'FLR'D'FDL'R
BU'B'L'RDBD'LR'
B'U'BL'RD'BDLR'
L'FU'F'LR'DFD'R
L'F'U'FLR'D'FDR
BF'UB'U'B'FRBR'
BF'U'FUB'FR'F'R
LBUB'L'RDB'D'R'
LB'UBL'RD'B'DR'

PLL 1 (U Permutation : a):
R'F'LR'DFD'L'RFU'R
RRU'R'U'RURURU'R
RU'BL'RD'BDLR'B'R'
RU'RURURU'R'U'RR
R'B'D'URUR'DU'BU'R
LUFU'F'L'R'F'U'FUR
RU'FDU'R'URD'UF'R'
RRU'B'FRRBF'U'RR

PLL 2(U Permutation : b):
RBL'RD'B'DLR'B'UR'
RRURUR'U'R'U'R'UR'
R'UF'LR'DF'D'L'RFR
L'U'B'UBLRBUB'U'R'
R'UR'U'R'U'R'URURR
RFDU'R'U'RD'UF'UR'
R'UB'D'URU'R'DU'BR
RRUB'FRRBF'URR

PLL 3(H Permutation):
BFUUB'F'L'R'UULR
B'F'UUBFLRUUL'R'

PLL 4(Z Permutation):
UBL'B'LRB'L'RB'LBRR
FUFR'F'RU'F'RUBU'B'R'
U'FFR'B'RBF'RB'F'RBR'
U'F'LFL'R'FLR'FL'F'RR
UBBRFR'BF'R'BFR'F'R
B'U'B'RBR'UBR'U'F'UFR
F'L'U'LUFR'F'L'ULU'FR
F'L'U'LUFR'U'FR'F'RUR
B'R'UF'U'FRBR'U'F'UFR
FRU'BUB'R'F'RUBU'B'R'
BLUL'U'B'RBLU'L'UB'R'
BLUL'U'B'RUB'RBR'U'R'

PLL 5(A Permutation : a):
RBURU'L'UR'U'LB'R'
R'B'UR'D'RU'R'DRBR
RBFR'F'RB'R'FRF'R'
R'BFR'BRF'R'B'RB'R
RUBLB'R'BL'B'RU'R'
RDUL'D'LU'L'DLD'R'
R'DUL'DLU'L'D'LD'R
R'D'FL'B'LF'L'BLDR
R'F'LU'R'UL'U'RUFR
RBBU'F'UB'U'FUB'R'
RFRDR'U'RD'R'UF'R'
L'UR'DDRU'R'DDLR
R'D'LDL'U'LD'L'DUR
R'UL'DDLU'L'DDLR
LRDDL'U'LDDL'UR'
R'U'FDF'U'FD'F'UUR
RD'LD'L'U'LDL'DUR'
RU'FD'F'U'FDF'UUR'
R'FFD'BDF'D'B'DF'R
RDLFL'B'LF'L'BD'R'
RRFFR'B'RFFR'BR'
R'U'RF'L'FR'F'LFUR
RF'RF'R'B'RFR'BFR'
RB'DF'D'B'DFD'BBR'
R'B'RBR'F'RB'R'BFR
R'FR'BBRF'R'BBRR
R'F'UBU'F'UB'U'FFR
RUUB'D'BU'B'DBU'R'
R'UUB'DBU'B'D'BU'R

PLL 6(A Permutation : b):
RFU'RDR'URD'R'F'R'
RB'F'RF'R'BRFR'FR'
R'B'F'RBR'FRB'R'BR
R'F'U'R'ULU'RUL'FR
RD'U'LD'L'ULDL'DR'
R'D'U'LDL'ULD'L'DR
RDB'LFL'BLF'L'D'R'
R'U'F'L'FRF'LFR'UR
RBL'URU'LUR'U'B'R'
R'FFUBU'FUB'U'FR
LU'RDDR'URDDL'R'
RU'LDDL'ULDDL'R'
R'DL'DLUL'D'LD'U'R
L'R'DDLUL'DDLU'R
RBBDF'D'BDFD'BR'
R'UB'DBUB'D'BUUR
R'B'R'D'RUR'DRU'BR
RDL'D'LUL'DLD'U'R'
RUB'D'BUB'DBUUR'
RB'RFFR'BRFFRR
RUUFD'F'UFDF'UR'
R'UUFDF'UFD'F'UR
RFR'F'RBR'FRB'F'R'
RBU'F'UBU'FUBBR'
RUR'BLB'RBL'B'U'R'
R'BR'BRFR'B'RB'F'R
R'FD'BDFD'B'DFFR
RRBBRFR'BBRF'R
R'D'L'B'LFL'BLF'DR

PLL 7(E Permutation):
FRBR'F'LRFL'B'LF'L'R'
BLFL'B'LRBR'F'RB'L'R'
F'L'B'LFL'R'F'RBR'FLR
B'R'F'RBL'R'B'LFL'BLR
BFRF'LFR'B'F'RBL'B'R'
B'F'R'BL'B'RBFR'F'LFR

PLL 8(T Permutation):
FRU'R'F'URU'BL'ULB'UR'
B'R'URBU'R'UF'LU'L'FU'R
F'UL'BUB'LU'FUR'F'U'FR
BU'LF'U'FL'UB'U'RBUB'R'
FRU'R'URURRF'RURU'R'
ULFU'F'RUR'FUF'L'RU'R'
UL'U'LR'F'UFL'ULF'U'FR
B'R'URU'R'U'RRBR'U'R'UR
U'L'B'UBR'U'RB'U'BLR'UR
U'LUL'RBU'B'LU'L'BUB'R'
FR'DR'BRDB'D'B'D'RRF'R'
BRBBDLDLD'B'L'BD'BR'
RDBBLBDLD'B'L'BD'BR'
RB'DB'LBDL'D'B'L'BBD'R'
B'RD'RF'R'D'FDFDRRBR
F'R'FFD'L'D'L'DFLF'DF'R
R'FD'FL'F'D'LDFLFFDR
R'D'FFL'F'D'L'DFLF'DF'R
F'U'FUFR'FFUFUF'U'FR
F'R'FFD'LFUL'U'L'F'DF'R
RFUURUFRF'U'R'UF'UR'
RU'FU'RUFR'F'U'R'UUF'R'
B'RD'RFUFU'R'F'DRRBR
BUB'U'B'RBBU'B'U'BUB'R'
BRBBDL'B'U'LULBD'BR'
R'B'UUR'U'B'R'BURU'BU'R
R'UB'UR'U'B'RBURUUBR
FR'DR'B'U'B'URBD'RRF'R'

PLL 9(F Permutation):
BUB'UUL'UR'U'LRUB'RBR'
BLB'RBR'UL'U'LRU'L'UB'R'
B'RBR'UBFU'B'UF'UUR'UR
B'R'UF'U'BFU'F'UB'RBR'FR
R'URU'RRF'U'FURFR'F'RR
RU'FRUFRDF'U'FD'F'R'F'R'
RRB'R'BRUBU'B'RRU'RUR'
R'B'R'B'D'BU'B'DRBURBU'R

PLL 10(V Permutation):
R'B'R'BU'BUBBRBURU'R
RFRF'UF'U'FFR'F'U'R'UR'
RU'RUFRFFUFU'FR'F'R'
RU'RUFD'FDFFRFR'F'R'
RU'RUFD'FL'FLFFDF'R'
RFRF'R'FFD'F'DF'U'R'UR'
RFD'FFL'F'LF'DF'U'R'UR'
R'UR'U'B'R'BBU'B'UB'RBR
R'B'DBBLBL'BD'BURU'R
R'B'R'BRBBDBD'BURU'R
R'UR'U'B'DB'D'BBR'B'RBR
R'UR'U'B'DB'LB'L'BBD'BR

PLL 11(Y Permutation):
RRU'RB'D'RDRFR'F'R'BR
R'B'RFRF'RBUR'U'RURR
RFR'B'R'BRDRD'F'RU'RR
RRURRB'RFDR'D'BRF'R'
RRUR'FDR'D'R'B'RBRF'R'
RRU'RRFR'B'D'RDF'R'BR
R'B'RFRF'R'D'R'DBR'URR
RFR'B'R'BR'F'U'RUR'U'RR
RRURU'R'UFRB'RBRF'R'
RRU'RF'R'URUFU'F'U'FR
LRBUUL'ULUB'L'BUB'R'
R'F'UFL'F'ULUL'UUFLR
RBU'B'U'BURUR'B'RU'RR
L'B'UBR'B'URUR'UUBLR
RRU'R'URU'B'R'FR'F'R'BR
RRUR'BRU'R'U'B'UBUB'R'
L'R'F'UULU'L'U'FLF'U'FR
LFU'F'RFU'R'U'RUUF'L'R'
R'F'UFUF'U'R'U'RFR'URR
RBU'B'LBU'L'U'LUUB'L'R'
R'B'RFD'R'DBRF'RRURR
RFR'B'DRD'F'R'BRRU'RR
R'F'UFR'D'FLFL'FFDRR
RRD'FFLF'L'F'DRF'U'FR
RRDBBL'BLBD'R'BUB'R'
RBU'B'RDB'L'B'LBBD'RR

PLL 12(J Permutation a):
B'RBRRUF'L'ULFU'R
URRFRFFL'ULFU'R
B'D'RFRF'RRDBR'UR
U'R'U'BRB'U'BR'B'UUR
B'URUR'UUBRB'UBR'
B'RFDR'D'BRF'RURR
F'L'U'FR'F'LF'D'F'DF'R
FFL'U'LFFR'DR'D'RR
FFU'F'LF'R'DFD'L'F'R
LU'R'UL'UURU'R'UUR
FDFD'L'FU'F'LF'R'F'R
U'R'UF'L'U'LFFR'F'RR
U'L'UR'UULU'L'UULR
L'UULUL'UURU'LUR'
U'R'UL'UURU'R'UULR
UL'R'UURUR'UULU'R
F'R'UFUF'UURFR'UR
F'L'U'FUF'U'F'LF'R'F'R
UR'UB'URUR'U'BUUR
F'UL'B'U'BLU'FFR'F'R
UR'U'B'U'BRB'UBR'UR
B'RD'RDRF'RBR'UFR
B'RBRD'F'RUR'FDRR
F'U'FR'D'FFLF'L'F'DR
BBDBD'BRRF'UFRR
FFD'L'FU'F'LDF'R'F'R
FR'U'RF'R'UUFU'F'U'R
B'RBRF'RURU'R'UFR
B'RBRF'RUR'FDR'D'R'
UR'UUBRB'UBR'B'UR
U'R'U'RB'U'BR'B'UBUR
B'U'BR'B'UURU'R'U'BR
U'R'UUB'URU'R'U'BU'R

PLL 13(J Permutation b):
FR'F'RRU'BLU'L'B'UR'
FU'R'U'RUUF'R'FU'F'R
FR'B'D'RDF'R'BR'U'RR
BLUB'RBL'BDBD'BR'
URUF'R'FUF'RFUUR'
U'RRB'R'BBLU'L'B'UR'
FDR'B'R'BRRD'F'RU'R'
L'URU'LUUR'URUUR'
B'D'B'DLB'UBL'BRBR'
URU'BLUL'BBRBRR
BBLUL'BBRD'RDRR
BBUBL'BRD'B'DLBR'
ULU'RUUL'ULUUL'R'
URU'LUUR'URUUL'R'
U'LRUUR'U'RUUL'UR'
BU'LFUF'L'UBBRBR'
U'RUFUF'R'FU'F'RU'R'
LUUL'U'LUUR'UL'U'R
U'RU'FU'R'U'RUF'UUR'
BLUB'U'BUBL'BRBR'
BRU'B'U'BUUR'B'RU'R'
BUB'RDBBL'BLBD'R'
FR'F'R'DBR'U'RB'D'RR
FFD'F'DF'RRBU'B'RR
FR'DR'D'R'BR'F'RU'B'R'
FUF'RFUUR'URUF'R'
URUR'FUF'RFU'F'U'R'
URUUFU'R'URUF'UR'
U'RUUF'R'FU'F'RFU'R'
B'RUR'BRUUB'UBUR'
FR'F'R'BR'U'RB'D'RDR
FR'F'R'BR'U'R'URU'B'R'
BBDLB'UBL'D'BRBR'

PLL 14(R Permutation : b):
UR'UF'LFRF'L'FUR'UUR
UR'URULR'D'L'ULDL'UR
B'RBR'UBULUL'B'R'UUR
RRFRUR'U'R'UF'R'FU'F'R'
U'R'U'LD'L'U'LDL'RU'R'U'R
RFUF'RFU'RURU'R'F'RR
F'UUFRBU'B'U'R'U'FR'F'R
U'R'UURU'F'LFR'F'L'FU'R

PLL 15(R Permutation : a):
U'RU'R'U'L'RDLU'L'D'LU'R'
U'RU'BL'B'R'BLB'U'RUUR'
RRB'R'U'RURU'BRB'UBR
URUL'DLUL'D'LR'URUR'
BUUB'R'F'UFURUB'RBR'
R'B'U'BR'B'UR'U'R'URBRR
FR'F'RU'F'U'L'U'LFRUUR'
URUUR'UBL'B'RBLB'UR'

PLL 16(G Permutation : c):
R'FFL'FRF'U'LUFR'FR
FFD'LU'LUL'DFFRU'R'

PLL 17(G Permutation : d):
R'F'RF'U'L'UFR'F'LFFR
BUB'RRD'FU'F'UF'DRR

PLL 18(G Permutation : a):
RBBLB'R'BUL'U'B'RB'R'
BBDL'UL'U'LD'BBR'UR

PLL 19(G Permutation : b):
RBR'BULU'B'RBL'BBR'
F'U'FRRDB'UBU'BD'RR

PLL 20(N Permutation : a):
LU'RUUL'ULR'U'RUUL'UR'
BUBU'B'UL'D'RB'R'DLRB'R'
FRB'F'D'FRF'DBU'RUR'U'R'

PLL 21(N Permutation : b):
L'UR'UULU'L'RUR'UULU'R
F'U'F'UFU'LDR'FRD'L'R'FR
B'R'BFDB'R'BD'F'UR'U'RUR
 
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xyzzy

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Dec 24, 2015
Messages
2,284
1LLL / pure OLL I guess:
r U' r' S' r' U r2 S' U r' S r' U' R

(I had this in a Notepad++ tab and I forgot what I was doing with it.)

edit: The mirror r' U r S' r U' r2 S' U' r S r U R' actually seems… good? Definitely faster than doing the normal OLL into a Z perm.
 
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xyzzy

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Joined
Dec 24, 2015
Messages
2,284
Some ELL + PLL parity case

2R U 2R' U' 2R' U' 2R U 2R U' 2R' U' 2R' U 2R
(also works if you invert the directions of all the 2R moves, or of all the U moves, or of all the moves, thanks to the layer-swapping automorphisms)

Alternatives(?):
2R2 U2 2R2 u2 2R2 u2 M' U M2 U M U2 M' U M' (opp swap into normal ELL)
r2 B2 r2 b2 2R2 b2 M' U M2 U R2 B2 R2 U' M' (lots of left hand regrips)
x' r2 U2 r2 u2 2R2 u2 M' F M2 F R2 U2 R2 F' M' (x) (or a single initial regrip with lots of F moves)
3r U R' U 2R2 U2 2R2 u2 2R2 u2 U R U' R' U M (set up to adj swap)
 
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Christopher Mowla

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Sep 17, 2009
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(Awesome new algs!)
I added them to this section of the wiki. (There were 4 duplicates, FYI.)

I had to also update this table/section in the wiki too. (Adjacent double parity used to be the number 1 rank -- for the worst case!) And it's interesting that these algs are also 22 OBTM (like my 23,16). When I saw @qwr 's thread, about his 1.5 half turn metric idea, I remembered my move count ranking system (this table)!

Is the adjacent checkerboard next?:cool:

(Awesome new algs!)
I added them to this section of the wiki.

(Awesome new alg!)
I added it to this section of the wiki.
 

AlgoCuber

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Mar 12, 2021
Messages
181
Algs genned by Hagis: https://basilio.dev/cubing/
Potentially good V perms? Here they are:
F' R' F' R U' R U R2 F R U F U' F
R' F R' U R' U' R2 F2 R' F U R' F' R2 F
R' D2 R D R' U R D2 R D R2 D' R U' D' R
R D R2 D' R2 U R D R' D2 R U' R' U D R2
R U R D R2 U' R D' R U R U' R' D R2 D' R

I really like the first one, as it is completely regripless and without overwork if you fingertrick it correctly. The RUD ones flow very nicely as well. However, I'm not so sure about the second one...
 

abunickabhi

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2013GHOD01
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Algs genned by Hagis: https://basilio.dev/cubing/
Potentially good V perms? Here they are:
F' R' F' R U' R U R2 F R U F U' F
R' F R' U R' U' R2 F2 R' F U R' F' R2 F
R' D2 R D R' U R D2 R D R2 D' R U' D' R
R D R2 D' R2 U R D R' D2 R U' R' U D R2
R U R D R2 U' R D' R U R U' R' D R2 D' R

I really like the first one, as it is completely regripless and without overwork if you fingertrick it correctly. The RUD ones flow very nicely as well. However, I'm not so sure about the second one...
I really like F' R' F' R U' R U R2 F R U F U' F, I needed a good V perm from the that angle.
 

xyzzy

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Dec 24, 2015
Messages
2,284
This ELL:


old boring MU alg:
M' U' M U M' U' M U' M' U2 M

cool S moves alg:
r (U' D) r' S' r U r S' r' D' r'

you know it's better because it looks shorter
Probably sticking with the MU one because I keep locking up on the D moves.

Edit: The mirror too, of course:
M' U M U' M' U M U M' U2 M
versus
r' (U D') r S' r' U' r' S' r D r

---

edit (2020-06-10)

Z perm:
M2' U M U2 M2' U2 M U' M2'

I do M2 with left pinky-ring, so I can just use left index for the U' at the end. Like with the other M-move Z perms, this one cuts down on finger resets; unlike the other ones, this one purely alternates between M2' and M (no doubled M2s). Might be good for the specific AUF, probably not better than the 13 SQTM algs for other AUFs.
 
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